Enter (A,B,C) in order below if A, B, and C are the coefficients of the partial fractions expansion of (2x^2 + 3x - 5)/(x(x^2 - 1)) = A/x + B/(x - 1) + C/(x + 1).
It is actually not very hard.
Get a common denominator on the RHS and equate coefficients.
Give it a go and if you get stuck post what you have attempted.
\(\frac{(2x^2 + 3x - 5)}{x(x^2 - 1)} = \frac{A}{x} + \frac{B}{(x - 1)} + \frac{C}{(x + 1).}\)